Earlier quoted context omitted.
They are legally empowered by elected officials, just like the police, the courts, the entire Justice Department, military, State Department, NIH, NSF, IEEE (for some things), and many, many more. What alternative is there? Our elected officials can't possibly have the time or the expertise to perform all those tasks themselves.
If Congress legally empowered an un-elected five person 'Super Congress' that wielded the power of Congress itself to make laws independently would you feel like your voice at the ballot box was being undermined? I'm not saying the US regulatory agencies are at that point, but I would feel better about them if their power was more directly checked by the Executive branch. Instead of "FCC voted today on a new ISP resu…
Again, how could that be done realistically? The President would do nothing else and still have no chance to keep up. They could print the statement the way you describe, but it would be deceitful.
Also, we want to depoliticize regulations; I'm not sure I want the President involved in every one.